Search a number
-
+
1025415960 = 233526332491
BaseRepresentation
bin111101000111101…
…001101100011000
32122110111112020220
4331013221230120
54100001302320
6245430120040
734260614622
oct7507515430
92573445226
101025415960
11486903208
122474b0020
1313459880a
149a285c12
1560051e40
hex3d1e9b18

1025415960 has 64 divisors (see below), whose sum is σ = 3088039680. Its totient is φ = 272396160.

The previous prime is 1025415949. The next prime is 1025415961. The reversal of 1025415960 is 695145201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025415961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15315 + ... + 47805.

It is an arithmetic number, because the mean of its divisors is an integer number (48250620).

Almost surely, 21025415960 is an apocalyptic number.

1025415960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025415960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544019840).

1025415960 is an abundant number, since it is smaller than the sum of its proper divisors (2062623720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025415960 is a wasteful number, since it uses less digits than its factorization.

1025415960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32768 (or 32764 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1025415960 is about 32022.1167320338. The cubic root of 1025415960 is about 1008.4012087057.

The spelling of 1025415960 in words is "one billion, twenty-five million, four hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 5260 6312 7890 10520 15780 31560 32491 64982 97473 129964 162455 194946 259928 324910 389892 487365 649820 779784 974730 1299640 1949460 3898920 8545133 17090266 25635399 34180532 42725665 51270798 68361064 85451330 102541596 128176995 170902660 205083192 256353990 341805320 512707980 1025415960